Finding the Third Proportional to 92,105 and 165,256

Step by Step Solution

1. Step 1: Write the proportion equation
   92,105 : 165,256 = 165,256 : x
2. Step 2: Convert to fraction form
   92,105/165,256 = 165,256/x
3. Step 3: Cross multiply
   92,105x = 165,256 × 165,256
4. Step 4: Simplify right side
   92,105x = 27,309,545,536
5. Step 5: Solve for x
   x = 27,309,545,536/92,105
6. Step 6: Final answer
   x = 296,504.48